Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

Ahmadpour, Ali; Nasiri, Mohammad; Khazayinejad, Mehdi; Asgharian, N.

doi:10.1007/s40430-018-1058-z

Cited by 4 publications

(6 citation statements)

References 34 publications

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“…These outcomes have important applications in science and engineering; examples boiler water tubes, liquid‐metal lubrication, include nuclear reactors, compression pumping of heart, flow through arteries, and food processing and so on …”

Section: Discussionmentioning

confidence: 99%

“…We have considered coordinates system ( r , ϕ , z ) in the cylindrical, where the lower disk is stationary and upper one is moving with velocity

a H {(1 - a t)}^{- 1 / 2} / 2

away or towards from lower disk as shown in the “Figure ” and the rotational symmetry of the flow so

\partial / \partial ϕ = 0

. The governing partial differential equations of unsteady free convective Casson fluid flow with Hall and Ion slip effects as follows:

\frac{\partial u}{\partial r} + \frac{u}{r} + \frac{\partial w}{\partial z} = 0.

ρ (\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z}) = - \frac{\partial p}{\partial r} + μ true(1 + \frac{1}{β} true) (\frac{\partial^{2} u}{\partial r^{2}} - \frac{u}{r^{2}} + \frac{\partial^{2} u}{\partial z^{2}} + \frac{1}{r} \frac{\partial u}{\partial r}) + - \frac{σ B_{0}^{2}}{false(α_{e}^{2} + β_{e}^{2} false)} false(u α_{e} + w β_{e} false) + ρ g β_{C} false(C - C_{0} false) + ρ g β_{T} false(T - T_{0} false) .

ρ (\frac{\partial w}{\partial t} + w \frac{\partial w}{\partial z} + u \frac{\partial w}{\partial r}) = - \partial p

…”

Section: Mathematical Analysismentioning

confidence: 99%

“…The squeezing flow of non‐Newtonian fluid between parallel disks channel has wide range of applications in engineering, bio sciences and industrial process such as lubrication system, hydraulic system, polymer industry process, paper sheets formations, squeezed films in power transmission, flow through arteries, petroleum industries, optical fibers, and food processing and so on. Ahmadpour et al have examined squeezing flow of radiative chemically reacting Casson fluid confined between parallel disks. Ojjela et al have investigated entropy generation analysis of an squeezing flow of MHD Casson fluid confined between parallel plates and concluded that temperature is enhanced with Prandtl number.…”

Section: Introductionmentioning

confidence: 99%

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Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

Ramesh

Ojjela

2019

Heat Trans. Asian Res.

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This paper concerns the second law analysis of free convective squeezing flow of a chemically reacting Casson fluid confined between two parallel disks with Hall and Ion slip effects. The upper one is impermeable and the lower disk is porous. The linear momentum, energy balance and mass partial differential equations converted as system of ODEs by similarity transformations and tackled with shooting method via fourth order Runge-Kutta scheme. The impact of various dimensionless geometric and fluid parameters on the velocity fields, temperature and concentration fields, entropy generation and Bejan numbers are studied and presented in the form of pictorially. The present results are correlated with already published outcomes for viscous case and found to be good agreement. The Bejan number of the fluid enhances with Ion slip parameter, whereas the concentration profile of the fluid is decreases with increasing of the Casson fluid parameter. The entropy generation of the fluid is enhanced with Eckert number whereas the Bejan number is decreased with suction/blowing parameter K E Y W O R D S chemical reaction, entropy generation, free convection, Hall and Ion slip effects

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Section: Discussionmentioning

confidence: 99%

“…We have considered coordinates system ( r , ϕ , z ) in the cylindrical, where the lower disk is stationary and upper one is moving with velocity

a H {(1 - a t)}^{- 1 / 2} / 2

away or towards from lower disk as shown in the “Figure ” and the rotational symmetry of the flow so

\partial / \partial ϕ = 0

. The governing partial differential equations of unsteady free convective Casson fluid flow with Hall and Ion slip effects as follows:

\frac{\partial u}{\partial r} + \frac{u}{r} + \frac{\partial w}{\partial z} = 0.

ρ (\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z}) = - \frac{\partial p}{\partial r} + μ true(1 + \frac{1}{β} true) (\frac{\partial^{2} u}{\partial r^{2}} - \frac{u}{r^{2}} + \frac{\partial^{2} u}{\partial z^{2}} + \frac{1}{r} \frac{\partial u}{\partial r}) + - \frac{σ B_{0}^{2}}{false(α_{e}^{2} + β_{e}^{2} false)} false(u α_{e} + w β_{e} false) + ρ g β_{C} false(C - C_{0} false) + ρ g β_{T} false(T - T_{0} false) .

ρ (\frac{\partial w}{\partial t} + w \frac{\partial w}{\partial z} + u \frac{\partial w}{\partial r}) = - \partial p

…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

Ramesh

Ojjela

2019

Heat Trans. Asian Res.

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“…A similar study considering a two‐phase model with heat generation/absorption was performed by Eid and Mahny 14 . Recently, some excellent investigations by using this model have been reported 15‐19 . The species reaction is also of considerable significance in the flowing fluid, together with the combined impact of heat and mass transfer.…”

Section: Introductionmentioning

confidence: 85%

“…14 Recently, some excellent investigations by using this model have been reported. [15][16][17][18][19] The species reaction is also of considerable significance in the flowing fluid, together with the combined impact of heat and mass transfer. Such studies have vast applications in many industrial processes and also in physiological flows.…”

Section: Introductionmentioning

confidence: 99%

Thermosolutal convective non‐Newtonian radiative Casson fluid transport over a vertical plate propagated by Arrhenius kinetics with heat source/sink

Rajput

Shamshuddin²,

Salawu

2020

Heat Trans

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In the current study, a mathematical formulation is developed by combining the non‐Newtonian (Casson) fluid model to simulate the thermosolutal free convection radiative flow over a vertical surface. The current flow model is formulated with a heat sink/source and radiation driven by Arrhenius kinetics. The basic flow equations are transmuted into a nondimensional form via similarity transformations for which numerical simulations are performed utilizing the Runge‐Kutta‐Fehlberg method with shooting technique. The results obtained for velocity, energy, and species mass concerning various flow parameters are presented graphically. Computed results for skin friction, Nusselt number, and Sherwood number are tabulated. The results have been verified for limited cases by comparing with various investigations, revealing excellent accuracy. The detailed geometry reveals that an increase in the activation energy enhances the flow velocity and heat transport in the Casson fluid system due to exothermic heat reaction. With the increase of the Frank‐Kamenetskii term, there is a substantial rise in temperature distribution and a decrease in concentration profiles due to high Arrhenius exothermic process, which revealed that the presence of Arrhenius kinetics is more effective to improve heat transportation phenomenon. Enhancement of the heat source/sink term completely boosts heat distribution. Rise in Radiation parameter, temperature field increases by reducing heat dissipation to the ambient.

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Semi-analytical assessment of heat transfer rate for MHD transient flow in a semi-porous channel considering heat source and slip effect

Alizadeh

Mosaddeghi

Khazayinejad

2021

Waves in Random and Complex Media

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Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

Cited by 4 publications

References 34 publications

Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

Thermosolutal convective non‐Newtonian radiative Casson fluid transport over a vertical plate propagated by Arrhenius kinetics with heat source/sink

Semi-analytical assessment of heat transfer rate for MHD transient flow in a semi-porous channel considering heat source and slip effect

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